Some elementary remarks on the powers of a partial theta function and corresponding q-analogs of the binomial coefficients

Johann Cigler

Some elementary remarks on the powers of a partial theta function and corresponding q-analogs of the binomial coefficients

Number Theory 2024-08-27 v1 Combinatorics

Authors: Johann Cigler

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Abstract

We obtain formulas for the coefficients of positive and negative powers of a partial theta function.

Keywords

partial theta function q-binomial coefficients power series coefficients q-analogs combinatorial identities

Cite

@article{arxiv.2408.14094,
  title  = {Some elementary remarks on the powers of a partial theta function and corresponding q-analogs of the binomial coefficients},
  author = {Johann Cigler},
  journal= {arXiv preprint arXiv:2408.14094},
  year   = {2024}
}